Well-quasi-ordering finite posets (extended abstract)

1993 ◽  
pp. 511-515
Author(s):  
Jens Gustedt
Keyword(s):  
Quasi Ordering ◽  
Finite Posets

Well-quasi-ordering hereditarily finite sets

2013 ◽  
Vol 90 (6) ◽  
pp. 1278-1291 ◽  
Author(s):  
Alberto Policriti ◽  
Alexandru I. Tomescu
Keyword(s):  
Finite Sets ◽  
Quasi Ordering

scholarly journals On Well-quasi-ordering Finite Sequences

1989 ◽  
Vol 10 (3) ◽  
pp. 227-230 ◽  
Author(s):  
Ulrich Bollerhoff
Keyword(s):  
Finite Sequences ◽  
Quasi Ordering

Some correlation inequalities in finite posets

Order ◽  
1985 ◽  
Vol 2 (4) ◽  
pp. 387-402 ◽  
Author(s):  
Graham R. Brightwell
Keyword(s):  
Correlation Inequalities ◽  
Finite Posets

On Well-Quasi-Ordering Finite Trees

2009 ◽  
pp. 329-331
Author(s):  
C. ST. J. A. Nash-Williams
Keyword(s):  
Quasi Ordering

scholarly journals A Counterexample Regarding Labelled Well-Quasi-Ordering

2018 ◽  
Vol 34 (6) ◽  
pp. 1395-1409 ◽  
Author(s):  
Robert Brignall ◽  
Michael Engen ◽  
Vincent Vatter
Keyword(s):  
Quasi Ordering

scholarly journals Posets and differential graded algebras

1998 ◽  
Vol 64 (1) ◽  
pp. 1-19 ◽  
Author(s):  
Jacqui Ramagge ◽  
Wayne W. Wheeler
Keyword(s):  
Commutative Ring ◽  
Partially Ordered Set ◽  
Integral Domain ◽  
Ordered Set ◽  
Order Relation ◽  
Graded Algebras ◽  
Partially Ordered ◽  
Differential Graded Algebras ◽  
Finite Posets

AbstractIf P is a partially ordered set and R is a commutative ring, then a certain differential graded R-algebra A•(P) is defined from the order relation on P. The algebra A•() corresponding to the empty poset is always contained in A•(P) so that A•(P) can be regarded as an A•()-algebra. The main result of this paper shows that if R is an integral domain and P and P′ are finite posets such that A•(P)≅A•(P′) as differential graded A•()-algebras, then P and P′ are isomorphic.

EXPONENT MATRICES AND TILED ORDERS OVER DISCRETE VALUATION RINGS

2005 ◽  
Vol 15 (05n06) ◽  
pp. 997-1012 ◽  
Author(s):  
V. V. KIRICHENKO ◽  
A. V. ZELENSKY ◽  
V. N. ZHURAVLEV
Keyword(s):  
Markov Chains ◽  
Valuation Ring ◽  
Discrete Valuation Ring ◽  
Stochastic Matrices ◽  
Doubly Stochastic ◽  
Discrete Valuation Rings ◽  
Valuation Rings ◽  
Strongly Connected ◽  
Exponent Matrix ◽  
Finite Posets

Exponent matrices appear in the theory of tiled orders over a discrete valuation ring. Many properties of such an order and its quiver are fully determined by its exponent matrix. We prove that an arbitrary strongly connected simply laced quiver with a loop in every vertex is realized as the quiver of a reduced exponent matrix. The relations between exponent matrices and finite posets, Markov chains, and doubly stochastic matrices are discussed.

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